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Number of permutations of [n] with exactly three (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=up and 0=down.
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%I #8 Jan 12 2015 09:41:30

%S 12,0,0,158720,74601,0,59062275,17730048,2099186631,10006375,

%T 206421198786,135518026916798,569885619485772,13007265031125000,

%U 5556193492800826418,52483739349674666340,51836903694327604380,388109358965377200000,302747316148839193725590

%N Number of permutations of [n] with exactly three (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=up and 0=down.

%H Alois P. Heinz, <a href="/A246223/b246223.txt">Table of n, a(n) for n = 7..130</a>

%Y Column k=3 of A242783.

%K nonn

%O 7,1

%A _Alois P. Heinz_, Aug 19 2014